NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.3 Solutions 

CBSE CLASS XII Related Questions

  • 1.
    The domain of the function \( f(x) = \cos^{-1}(2x) \) is:

      • \([-1, 1]\)
      • \(\left[0, \frac{1}{2}\right]\)
      • \([-2, 2]\)
      • \(\left[-\frac{1}{2}, \frac{1}{2}\right]\)

    • 2.

      Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.


        • 3.
          Differentiate $2\cos^2 x$ w.r.t. $\cos^2 x$.


            • 4.
              If A and B are invertible matrices of order $3 \times 3$ such that $\text{det} = 4$ and $\text{det}([AB]^{-1}) = \frac{1}{20}$, then $\text{det}$ is equal to:

                • $\frac{1}{20}$
                • $\frac{1}{5}$
                • 20
                • 5

              • 5.
                In a rough sketch, mark the region bounded by \( y = 1 + |x + 1| \), \( x = -2 \), \( x = 2 \), and \( y = 0 \). Using integration, find the area of the marked region.


                  • 6.

                    If  \(\begin{vmatrix} 2x & 3 \\ x & -8 \\ \end{vmatrix} = 0\), then the value of \(x\) is:

                      • zero
                      • 3
                      • \(2\sqrt{3}\)
                      • \(\pm 2\sqrt{3}\)
                    CBSE CLASS XII Previous Year Papers

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